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Finding the Fourth Proportional to 151.20, 207.23 and 144.86

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Solution

The fourth proportional to 151.20, 207.23 and 144.86 is: 198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 207.23 = 144.86 : x
  2. Step 2: Convert to fraction form
    151.20/207.23 = 144.86/x
  3. Step 3: Cross multiply
    151.20x = 207.23 × 144.86
  4. Step 4: Simplify right side
    151.20x = 30,017.58
  5. Step 5: Solve for x
    x = 30,017.58/151.20
  6. Step 6: Final answer
    x = 198.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.